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Finding the Third Proportional to 42,080 and 70,136

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Solution

The third proportional to 42,080 and 70,136 is: 116,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,080 : 70,136 = 70,136 : x
  2. Step 2: Convert to fraction form
    42,080/70,136 = 70,136/x
  3. Step 3: Cross multiply
    42,080x = 70,136 × 70,136
  4. Step 4: Simplify right side
    42,080x = 4,919,058,496
  5. Step 5: Solve for x
    x = 4,919,058,496/42,080
  6. Step 6: Final answer
    x = 116,897.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.